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Simplifying 2m + 3n + 4 + -1m + 2n = 5 Reorder the terms: 4 + 2m + -1m + 3n + 2n = 5 Combine like terms: 2m + -1m = 1m 4 + 1m + 3n + 2n = 5 Combine like terms: 3n + 2n = 5n 4 + 1m + 5n = 5 Solving 4 + 1m + 5n = 5 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 1m + -4 + 5n = 5 + -4 Reorder the terms: 4 + -4 + 1m + 5n = 5 + -4 Combine like terms: 4 + -4 = 0 0 + 1m + 5n = 5 + -4 1m + 5n = 5 + -4 Combine like terms: 5 + -4 = 1 1m + 5n = 1 Add '-5n' to each side of the equation. 1m + 5n + -5n = 1 + -5n Combine like terms: 5n + -5n = 0 1m + 0 = 1 + -5n 1m = 1 + -5n Divide each side by '1'. m = 1 + -5n Simplifying m = 1 + -5n
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